How to Check if Rectangles are Disjoint

Algebraic functions of rectangles and points can be used to check inclusion and intersection of such objects. Questions like "Are rectangles R1 and R2 disjoint?" or "Is point P outside or inside rectangle R?" can easily be answered.

• r1.intersects(r2): is True if r1 has a non-empty intersection with rectangle r2.

• r1.contains(x): is True if the rectangle or point x is contained in rectangle r1. This is equivalent to the expression x in r1.